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The second one emphasizes the speed of convergence (geometric rates), but looses the monotonicity in the approximation.
Spectral methods are a popular choice for constructing numerical approximations for smooth problems, as they can achieve geometric rates of convergence and have a relatively small memory footprint.
These projections were made by using average geometric rates of annual population growth (13 ) obtained from the 1996 population count and expanded sample data from the 2000 demographic census (13, 14 ).
There are many nonlinear expressions including trigonometric ratios, second-order expressions (x2) and higher (x3 + x2 + 5, etc)., geometric rates or exponential functions, etc.
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In an ideal environment, one that has no limiting factors, populations grow at a geometric rate or an exponential rate.
He argued that population, tending to grow at a geometric rate, will ever press against the food supply, which at best increases only arithmetically, and thus poverty and misery are forever inescapable.
Some probably unrepresentative American figures gathered by Benjamin Franklin had persuaded him that, unless checked, most populations were likely to double every 25 years, increasing at a geometric rate (1,2,4,8,16 and so on), while food supplies would grow at only an arithmetic rate (1,2,3,4,5 and so on).
Skynet begins to learn at a geometric rate.
A geometric rate of convergence in probability is proved for these iterative estimates to MLE.
When the criterion becomes small enough, convergence occurs at a geometric rate, but it somewhat varies among experiments.
The iteration converges at a geometric rate to the fixed point F = r + P_{U}P_{h}F.
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